Even if you transfer as a CS major for UCB will still need to declare the major after taking the remaining technical prerequisites with a Berkeley grade point average of at least 3.30 in the 3 prerequisite courses (CS 61A, 61B/BL, and 70), and complete the application form required by the department.
If you are worried about getting into UCB L&S, then apply with the Applied Math or Data science major.
Unless your CC offers all the lower division pre-req courses for Data Science, you will still be required to complete these courses at UCB. The prerequisites to declare the L&S Data Science major are Foundations of Data Science, Calculus I, Calculus II, Linear Algebra, Program Structures, and Data Structures.